一类二阶积微分方程的必要条件

Necessary Condition of Optimality for a Class of Second Order Integro-differential Equations on Banach Spaces

本文讨论了二阶非线性积微分方程所决定的一类Lagrange问题的必要条件。引进系统合理的温和解,证明了系统温和解的存在性。进一步用直接方法导出了最优化的必要条件。

In this paper, a Lagrange problem of systems governed by a class of second order nonlinear integro - differential equations is considered. Introducing reasonable mild solution, we prove the existence of mild solutions. Further, we directly derive the maximum principle for the problem at hand.